lavanleer35 lavanleer35
  • 14-07-2020
  • Mathematics
contestada

The function f(x) = -2cos (3x-pie/4

Respuesta :

mathmate
mathmate mathmate
  • 14-07-2020

Answer:

f(x) = 0 when

x = (k/3 + 1/4)pi   for all k integer

Step-by-step explanation:

If you are looking for the roots of f(x), i.e. roots of f(x)=0, then

f(x) = -2cos(3x-pi/4) = 0

divide by -2

cos(3x-pi/4) = 0

Since cos((k+1/2)pi) = 0 for all integer values of k,

we equate

3x-pi/4 = (k+1/2)pi

3x = (k+1/2)pi + pi/4

3x = (k+ 3/4) pi

x = (k/3 + 1/4)pi   for all k integer

Otherwise, please complete or edit the question.

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